After finding that objects of the same mass do not always float or submerge the same way in a tub of liquid, alexis wrote a new hypothesis to test objects that have the same mass.

if the surface area of an object increases, then it will float higher in the tub, because the object would need to displace more liquid in order to sink all the way down.

what is the dependent variable in this hypothesis?

the mass of the object
the surface area of the object
the amount of water displaced
the height at which the object floats

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.